MULTIPLE NORMALIZED SOLUTIONS FOR A QUASI-LINEAR SCHRODINGER EQUATION VIA DUAL APPROACH

In this paper, we construct multiple normalized solutions of the following from quasi-linear Schrodinger equation: -Delta u - Delta(|u|(2))u- mu u = |u|(p-2)u, in R-N, subject to a mass-sub critical constraint. In order to overcome non-smoothness of the associated variational formulation we make use of the dual approach. The constructed solutions possess energies being clustered at 0 level which makes it difficult to use existing methods for non-smooth variational problems such as the variational perturbation approach.